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Finding the Fourth Proportional to 516.18, 774.27 and 259.38

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Solution

The fourth proportional to 516.18, 774.27 and 259.38 is: 389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.18 : 774.27 = 259.38 : x
  2. Step 2: Convert to fraction form
    516.18/774.27 = 259.38/x
  3. Step 3: Cross multiply
    516.18x = 774.27 × 259.38
  4. Step 4: Simplify right side
    516.18x = 200,830.15
  5. Step 5: Solve for x
    x = 200,830.15/516.18
  6. Step 6: Final answer
    x = 389.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.